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Finding the Fourth Proportional to 278,333.76, 384,101.64 and 151,009.68

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Solution

The fourth proportional to 278,333.76, 384,101.64 and 151,009.68 is: 208,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,333.76 : 384,101.64 = 151,009.68 : x
  2. Step 2: Convert to fraction form
    278,333.76/384,101.64 = 151,009.68/x
  3. Step 3: Cross multiply
    278,333.76x = 384,101.64 × 151,009.68
  4. Step 4: Simplify right side
    278,333.76x = 58,003,065,743.88
  5. Step 5: Solve for x
    x = 58,003,065,743.88/278,333.76
  6. Step 6: Final answer
    x = 208,393.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.